663224040 has 48 divisors (see below), whose sum is σ = 2155479300. Its totient is φ = 176859648.

The previous prime is 663224011. The next prime is 663224057. The reversal of 663224040 is 40422366.

663224040 is a `hidden beast` number, since 6 + 632 + 24 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 661621284 + 1602756 = 25722^2 + 1266^2 .

It is a super-2 number, since 2×663224040² = 879732254467843200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 663223995 and 663224013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 920785 + ... + 921504.

Almost surely, 2^663224040 is an apocalyptic number.

663224040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

663224040 is an abundant number, since it is smaller than the sum of its proper divisors (1492255260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

663224040 is a wasteful number, since it uses less digits than its factorization.

663224040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842306 (or 1842299 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 663224040 is about 25753.1365080062. The cubic root of 663224040 is about 872.0741632347.

The spelling of 663224040 in words is "six hundred sixty-three million, two hundred twenty-four thousand, forty".